Integrating edge loops in grid fill surface
As mentioned in the comments, one of way to create faces in that mesh is to use grid fill. There are other options, such as bridging them.

Using grid fill


Start by selecting two pairs of edge loops and the connecting edges, as shown in the picture below.

Press space and search for "grid f" and choose "Grid Fill".



Repeat that for each pair of ledge loops, and you will have a full mesh.





Using the bridge tool

Start by selecting all the loops except for the edges on the top and bottom.


Now simply press W and choose "Bridge Edge Loops". Change the number of cuts to match the number of vertices in between each selected edge loop (in your and my example mesh it is 3). You can find that in the operator half of the tool shelf.


Now you just have to fill the top and bottom parts. You can quickly do that with the F2 addon (that fastest way), or by any combination of bridging, and grid fill.

Here is an animated gif showing how I did it with bridging and the F2 addon.


Here is the final result: